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A person took a loan at 5% per annum simple interest during the first year and with an increases of 0.5% simple interest every year from the second year onwards. After 4 years, he paid Rs 4,600 as a total interest to settle the loan completely. How much was the loan?
Rs 20,000
Rs 19,000
Rs 18,000
Rs 21,000
- Let's calculate the total interest paid over four years to understand the loan amount.
- Year 1: The interest rate is 5% per annum.
- Year 2: The interest rate increases to 5.5%.
- Year 3: The interest rate becomes 6%.
- Year 4: The interest rate rises to 6.5%.
- Total Interest Calculation:
- Year 1 Interest = Principal × 5%
- Year 2 Interest = Principal × 5.5%
- Year 3 Interest = Principal × 6%
- Year 4 Interest = Principal × 6.5%
- Total Interest = Rs 4,600
- Let’s denote the principal as P.
- The equation becomes:
\(P \times (0.05 + 0.055 + 0.06 + 0.065) = 4,600\)
- Simplified, \(0.23P = 4,600\)
- Solving, \(P = 4,600 / 0.23 = Rs 20,000\)
- Option 1: Rs 20,000 is therefore correct.
Correct Answer: Rs 20,000
By: Parvesh Mehta ProfileResourcesReport error
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